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Hyperbolic 4‐manifolds, colourings and mutations

Hyperbolic 4‐manifolds, colourings and mutations

We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a Coxeter polytope P ⊂ H 4 that has a facet colouring. We also develop a way of finding a totally geodesic sub-manifold N in M, and describing the result of mutations along …